40674822400 has 81 divisors (see below), whose sum is σ = 100716491883. Its totient is φ = 16263475200.

The previous prime is 40674822379. The next prime is 40674822401. The reversal of 40674822400 is 422847604.

The square root of 40674822400 is 201680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24923568384 + 15751254016 = 157872^2 + 125504^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40674822400.

It is not an unprimeable number, because it can be changed into a prime (40674822401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16133140 + ... + 16135660.

Almost surely, 2^40674822400 is an apocalyptic number.

40674822400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40674822400 is the 201680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40674822400

40674822400 is an abundant number, since it is smaller than the sum of its proper divisors (60041669483).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40674822400 is an frugal number, since it uses more digits than its factorization.

40674822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 40674822400 in words is "forty billion, six hundred seventy-four million, eight hundred twenty-two thousand, four hundred".